Question

f(x) = (x² + x)² - 2x2

Answer 1

Răspuns:

pai...

(x²-x+2)² = (x²)²+x²+2²-2x²×x+2x²×2-2x×2=x⁴+x²+4-2x³+4x²-4x

(x²-x)²= (x²)²-2x²×x+x²=x⁴-2x³+x²

(2x-1)²=(2x)²-2×2x×1+1²=4x²-4x+1

acum expresia va fi

E(x) = (x²-x+2)² - (x²-x)² - (2x-1)² 

E(x)=x⁴+x²+4-2x³+4x²-4x -(x⁴-2x³+x²)-(4x²-4x+1)

E(X)=x⁴+x²+4-2x³+4x²-4x -x⁴+2x³-x²-4x²+4x-1

pe cele care se anuleaza le ingros ca sa iti fie mai simplu

E(X)=+x²+4-2x³+4x²-4x+2x³-x²-4x²+4x-1

E(X)=+4-2x³-4x+2x³+4x-1

E(X)=4-4x+4x-1

E(X)=4-1

E(X)=3